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Mathematics

In the figure (i) given below, calculate the values of x and y.

In the figure (i) given below, calculate the values of x and y. Circles, ML Aggarwal Understanding Mathematics Solutions ICSE Class 10.

Circles

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Answer

In the figure,

In the figure (i) given below, calculate the values of x and y. Circles, ML Aggarwal Understanding Mathematics Solutions ICSE Class 10.

ABCD is a cyclic quadrilateral.

⇒ ∠B + ∠D = 180°
⇒ 40° + 45° + y = 180°
⇒ 85° + y = 180°
⇒ y = 180° - 85°
⇒ y = 95°.

Considering △ABD and △ACD,

∠ABD = ∠ACD = 40° (∵ angles in same segment are equal.)

x = 40°.

Hence, the value of x = 40° and y = 95°.

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